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42241433320 = 23537109326113
BaseRepresentation
bin100111010101110010…
…010001111011101000
311001000212201010222101
4213111302101323220
51143002301331240
631223324303144
73023532154552
oct472562217350
9131025633871
1042241433320
1116a07208079
12822a6a1ab4
133ca255cc78
14208a1524d2
15117368a39a
hex9d5c91ee8

42241433320 has 64 divisors (see below), whose sum is σ = 97705008720. Its totient is φ = 16424239104.

The previous prime is 42241433317. The next prime is 42241433341. The reversal of 42241433320 is 2333414224.

It can be written as a sum of positive squares in 8 ways, for example, as 40016801764 + 2224631556 = 200042^2 + 47166^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1604584 + ... + 1630696.

Almost surely, 242241433320 is an apocalyptic number.

42241433320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42241433320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48852504360).

42241433320 is an abundant number, since it is smaller than the sum of its proper divisors (55463575400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42241433320 is a wasteful number, since it uses less digits than its factorization.

42241433320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27254 (or 27250 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 42241433320 its reverse (2333414224), we get a palindrome (44574847544).

The spelling of 42241433320 in words is "forty-two billion, two hundred forty-one million, four hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1093 1480 2186 4372 5465 8744 10930 21860 26113 40441 43720 52226 80882 104452 130565 161764 202205 208904 261130 323528 404410 522260 808820 966181 1044520 1617640 1932362 3864724 4830905 7729448 9661810 19323620 28541509 38647240 57083018 114166036 142707545 228332072 285415090 570830180 1056035833 1141660360 2112071666 4224143332 5280179165 8448286664 10560358330 21120716660 42241433320